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arXiv · 1611.09749

Diagonal-preserving graded isomorphisms of Steinberg algebras

Toke Meier Carlsen·James Rout
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Abstract

We study Steinberg algebras constructed from ample Hausdorff groupoids over commutative integral domains with identity. We reconstruct (graded) groupoids from (graded) Steinberg algebras and use this to characterise when there is a diagonal-preserving (graded) isomorphism between two (graded) Steinberg algebras. We apply this characterisation to groupoids of directed graphs in order to study diagonal-preserving (graded) isomorphisms of Leavitt path algebras and graph $C^*$-algebras.

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Toke Meier Carlsen, James Rout. 2016-11-29. Diagonal-preserving graded isomorphisms of Steinberg algebras. https://doi.org/10.1142/s021919971750064x

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